Properties of some kernel estimators and of the adapted Loftsgarden- Quesenberry estimator of a density function for censored data

DOI10.1007/BF01857588zbMath0568.62043MaRDI QIDQ1060512

Jan Mielniczuk

Publication date: 1985

Published in: Periodica Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

weak convergenceconsistencyasymptotic variancedensity estimationKaplan-Meier estimatornearest neighbor estimatorrandomly censored dataadapted kernel estimatoradapted Loftsgarden-Quesenberry estimatorinfluence function approach

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Nonparametric estimation (62G05)

Related Items (2)

Nonparametric density estimation in presence of bias and censoring ⋮ Adaptive Estimation of Hazard Rate with Censored Data

Cites Work

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• Strong consistency properties of nonparametric estimators for randomly censored data. I: The product-limit estimator
• Influence functions for censored data
• Strong consistency properties of nonparametric estimators for randomly censored data. II: Estimation of density and failure rate
• A LIL type result for the product limit estimator
• Expressing the Kaplan-Meier Estimator as a Function of Empirical Subsurvival Functions
• A Nonparametric Estimate of a Multivariate Density Function
• Curve Estimates
• On Estimation of a Probability Density Function and Mode

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